Finite size scaling of meson propagators with isospin chemical potential

Abstract

We determine the volume and mass dependence of scalar and pseudoscalar two-point functions in N_f-flavour QCD, in the presence of an isospin chemical potential and at fixed gauge-field topology. We obtain these results at second order in the ε-expansion of Chiral Perturbation Theory and evaluate all relevant zero-mode group integrals analytically. The virtue of working with a non-vanishing chemical potential is that it provides the correlation functions with a dependence on both the chiral condensate, Σ, and the pion decay constant, F, already at leading order. Our results may therefore be useful for improving the determination of these constants from lattice QCD calculations. As a side product, we rectify an earlier calculation of the O(ε^2) finite-volume correction to the decay constant appearing in the partition function. We also compute a generalised partition function which is useful for evaluating U(N_f) group integrals.

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References in corpus (31)

• Lattice QCD at finite isospin density at zero and finite temperature
• On two-color QCD with baryon chemical potential
• Imaginary chemical potential and finite fermion density on the lattice
• QCD at finite isospin density: from pion to quark-antiquark condensation
• Low-energy couplings of QCD from current correlators near the chiral limit
• Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
• Finite-size Scaling of Meson Propagators
• Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
• A New Method for Determining $F_{\pi }$ on the Lattice
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Finite-Size Scaling of Vector and Axial Current Correlators
• Effective Low Energy Theories and QCD Dirac Spectra
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• QCD Dirac operator at nonzero chemical potential: lattice data and matrix model
• Low-energy couplings of QCD from topological zero-mode wave functions
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Low-lying mode contribution to the quenched meson correlators in the epsilon-regime
• Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• On matrix model partition functions for QCD with chemical potential
• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
• Partially quenched chiral perturbation theory in the epsilon-regime
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• Individual Eigenvalue Distributions of Chiral Random Two-Matrix Theory and the Determination of F_pi
• The complete lowest order chiral Lagrangian from a little box
• Determining QCD Low-Energy Couplings from lattice simulations
• Dirac eigenvalue correlations in quenched QCD at finite density
• QCD, Chiral Random Matrix Theory and Integrability

Cited by in corpus (14)

• Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
• Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD
• The epsilon expansion at next-to-next-to-leading order with small imaginary chemical potential
• Random Matrix Theory and Quantum Chromodynamics
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Interpolation between the epsilon and p regimes
• Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Topology and chiral random matrix theory at nonzero imaginary chemical potential
• Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order
• Finite isospin density probe for conformality
• Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature
• Exploring the Aoki regime
• Finite volume corrections to LECs in Wilson and staggered ChPT